Question

Find the value of the sine, cosine and tangent function for 0please helppp

Answer 1

The sine function is the ratio between the opposite leg and the hypothenuse

`\sin \theta=\frac{3}{\sqrt[]{13}}`

Then, we rationalize.

`\sin \theta=\frac{3}{\sqrt[]{13}}\cdot\frac{\sqrt[]{13}}{\sqrt[]{13}}=\frac{3\sqrt[]{13}}{13}`

The cosine function is the ratio between the adjacent leg and the hypothenuse.

`\begin{gathered} cos\theta=\frac{2}{\sqrt[]{13}} \\ \cos \theta=\frac{2}{\sqrt[]{13}}\cdot\frac{\sqrt[]{13}}{\sqrt[]{13}}=\frac{2\sqrt[]{13}}{13} \end{gathered}`

At last, the tangent function is the ratio between the opposite leg and the adjacent leg.

`\tan \theta=(3)/(2)`